The Energy of Conjugate Graph of Some Finite Metabelian Groups of Order Less Than 24

M. S. Mahmud; A. A. Malle; C. Chibuisi; M. Z. Idris

doi:10.9734/jamcs/2021/v36i730383

Research Article Open access CC BY 4.0

The Energy of Conjugate Graph of Some Finite Metabelian Groups of Order Less Than 24

M. S. Mahmud, A. A. Malle, C. Chibuisi, M. Z. Idris

Journal of Advances in Mathematics and Computer Science · pp. 45–51 · Published 2 Sep 2021

10.9734/jamcs/2021/v36i730383

Abstract

The conjugacy classes of the Metabelian group G, plays an important role in defining the conjugate graph, whose vertices are non-central elements of G, and two vertices are connected if and only if they are conjugate. The constructions of conjugate graphs of all non abelian metabelian groups of order less than 24 are the basis for this paper. And the obtained results are then used to calculate the energy of the aforementioned group. This is aided by specialized programming software (maple).

Metabelian groups adjacency matrix conjugacy class conjugate graph and energy of graph

Cited by 2

Conjugacy Classes and Conjugate Graphs of Frobenius Group of Order 20

Mohammad Zamir Majidi, Mohammad Hassan Mudaber, Jan Mohammad Rasa · International Journal of Natural Sciences and Mathematics · 2025

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M. S. Mahmud, A. A. Malle, C. Chibuisi, M. Z. Idris (2021). The Energy of Conjugate Graph of Some Finite Metabelian Groups of Order Less Than 24. Journal of Advances in Mathematics and Computer Science , 45–51. https://doi.org/10.9734/jamcs/2021/v36i730383

Affiliations

M. S. Mahmud — Department of Mathematics, Federal University of Kashere, Gombe State, Nigeria.
A. A. Malle — Department of Mathematics, Bauchi State University Gadau, Nigeria.
C. Chibuisi — Department of Insurance, University of Jos, Jos, Nigeria.
M. Z. Idris — Department of Mathematics, University of Jos, Jos, Nigeria.

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